Finding the Third Proportional to 1,288 and 1,996

Step by Step Solution

1. Step 1: Write the proportion equation
   1,288 : 1,996 = 1,996 : x
2. Step 2: Convert to fraction form
   1,288/1,996 = 1,996/x
3. Step 3: Cross multiply
   1,288x = 1,996 × 1,996
4. Step 4: Simplify right side
   1,288x = 3,984,016
5. Step 5: Solve for x
   x = 3,984,016/1,288
6. Step 6: Final answer
   x = 3,093.18